Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Time Dilation
The measurement of time involves the concept of clocks attached at each position co-ordinate of a Lorentz frame. As a consequence of Lorentz transformations, it is said (though incorrectly) that a moving clock runs slower than a stationary one. Let us discuss this phenomenon, which is known as time dilation.
Consider two events occurring at same position x', at different times t1' and t2' as observed in a clock attached at x' in frame S'. When observed from stationary frame S, the two events are observed to occur at different space-time points (x1,t1) and (x2, t2). The time co-ordinates of the two events, according to clocks fixed in S at points x1 and x2, are related to S'. Hence, we gett2 - t1 = (t2' - t1') , (x2' = x1' = x')or, Δ t' = 1/ Δ t = Δ t (1 - v2/c2)1/2That is, the time interval observed by the moving clock is less than the interval observed by stationary clocks. The time scale is apparently stretched out or dilated as observed by the moving clock. Hence the phrase, "the moving clock runs slower."However, all clocks run at the same rate in all Lorentz frames.For an infinitesimal time interval, we havedt' = 1/ dtWhile dt' is the time interval according to (same) clock associated with moving position co-ordinate (or the moving object to which this clock is attached), dt is the time interval as observed by two neighbouring clocks associated with the stationary frame. Remember that t1 and t2 are the readings by clocks at x1 and x2 in frame S.The time interval measured by the clock attached to a moving object is called proper or intrinsic time interval of the object. It is denoted by d τ; hence,d τ = dt' = 1/ dtwhere dt is the corresponding interval recorded by a stationary observer.Now, the space-time interval ds' for the object at rest in S' is,ds'2 = c2 dt'2 - dl'2= c2 dt'2 = c2 d τ2Therefore, d τ =ds'/cis an invariant of Lorentz transformations. That is, in a sense, is trivial because d τ is always the time interval measured in the frame attached to the object.
A UDL or uniformly distributed load is a load, which is reach over a beam in such a way that every unit length is laded to the similar extent.
SPOT WELDING In this type of welding, after proper cleaning of the surfaces, the metals to be welded are kept one above the other and two copper electrodes are kept on both sid
Die Press Assembly Drawing The objective of this assignment is to demonstrate the following concepts of design. • Extrude • Revolve • Fillet • Dimensioning • Tolerance • Bas
Functions of the Piston To transmit force of explosion to the crankshaft. To form a seal so that high pressure gases from the combustion chamber do not escape into th
Perfect Frame - Truss: Perfec t Frame The frame that is composed of such members, which are sufficient to keep the frame in equilibrium, when the frame is sustaining the
EXPLANE PLZZ
(a) Illustrate self-locking and self-energizing brakes. (b) The diameter of the drum is 250mm and the angle of contact is 90 o , If the operating force of 700 N is applied at th
need help with reports on thin thick and combined cylinder theory
what are the tests to carried out after mockup preparation
models of CIM
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd